49554448500960 has 1536 divisors, whose sum is σ = 204895656000000. Its totient is φ = 11068004892672.

The previous prime is 49554448500959. The next prime is 49554448500983. The reversal of 49554448500960 is 6900584445594.

49554448500960 is a `hidden beast` number, since 4 + 9 + 5 + 54 + 448 + 50 + 0 + 96 + 0 = 666.

It is a super-2 number, since 2×49554448500960² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34580912404 + ... + 34580913836.

It is an arithmetic number, because the mean of its divisors is an integer number (133395609375).

Almost surely, 2^{49554448500960} is an apocalyptic number.

49554448500960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49554448500960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102447828000000).

49554448500960 is an abundant number, since it is smaller than the sum of its proper divisors (155341207499040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49554448500960 is a wasteful number, since it uses less digits than its factorization.

49554448500960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 49554448500960 in words is "forty-nine trillion, five hundred fifty-four billion, four hundred forty-eight million, five hundred thousand, nine hundred sixty".